In a mixing bowl, stir together the flour, sugar, baking soda, cinnamon and salt. Add the eggs and oil and stir just until the dry ingredients are moistened; do not beat. Stir in the banana, 1 cup pecans and 1 1/2 teaspoon vanilla. Divide the batter among the prepared pans and bake for 23 to 28 minutes, or until a wooden pick inserted in the center comes out clean. Cool the cake layers in the pans for 10 minutes, and then turn them out onto a rack to cool completely. While the cake cools, make the frosting.

Frosting:

In a bowl, blend together the cream cheese and butter. Gradually add the confectioner’s sugar and beat until light and fluffy. Beat in 1 teaspoon vanilla. Stir in 1/2 cup pecans, or reserve them to sprinkle over the frosted cake. Fill and frost the cake when it is completely cool.